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Finding the Fourth Proportional to 12,040.74, 18,071.97 and 7,114.86

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Solution

The fourth proportional to 12,040.74, 18,071.97 and 7,114.86 is: 10,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,040.74 : 18,071.97 = 7,114.86 : x
  2. Step 2: Convert to fraction form
    12,040.74/18,071.97 = 7,114.86/x
  3. Step 3: Cross multiply
    12,040.74x = 18,071.97 × 7,114.86
  4. Step 4: Simplify right side
    12,040.74x = 128,579,536.47
  5. Step 5: Solve for x
    x = 128,579,536.47/12,040.74
  6. Step 6: Final answer
    x = 10,678.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.